{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "os.chdir('D:/Practical Time Series/')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "zero_mean_series = np.random.normal(loc=0.0, scale=1., size=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mds4i7b4xzJSMac7SsXO6iOVqZyhZ9lC8VjLkxJbWqtHVFKMCGSmKmSaZ2iqG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\nDvD/nzaFtofPjnAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x83047d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.5, 5.5))\n",
    "g = sns.tsplot(zero_mean_series)\n",
    "g.set_title('Zero mean model')\n",
    "g.set_xlabel('Time index')\n",
    "plt.savefig('plots/ch1/B07887_01_12.png', format='png', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "random_walk = np.cumsum(zero_mean_series)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TN5q8qtZBKdinyLQk52/phSACL7/TGhZv8WQGX7j3Jfzvp080eylNZWQiDLOB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\nKoQQLvA/6jhW0xX+nsIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x843f7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.5, 5.5))\n",
    "g = sns.tsplot(random_walk)\n",
    "g.set_title('Random Walk')\n",
    "g.set_xlabel('Time index')\n",
    "plt.savefig('plots/ch1/B07887_01_13.png', format='png', dpi=300)"
   ]
  }
 ],
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